The following table contains numbers of connected regular graphs having girth at least five and with the given degree and number of vertices.
Not necessarily connected 2-regular with girth exactly 5 are counted by A026798.
| A014372 | A058343 | ||
| Vertices | Degree 3 | Degree 4 | Degree 5 |
|---|---|---|---|
| 10 | 1 | 0 | 0 |
| 11 | 0 | 0 | 0 |
| 12 | 2 | 0 | 0 |
| 13 | 0 | 0 | 0 |
| 14 | 9 | 0 | 0 |
| 15 | 0 | 0 | 0 |
| 16 | 49 | 0 | 0 |
| 17 | 0 | 0 | 0 |
| 18 | 455 | 0 | 0 |
| 19 | 0 | 1 | 0 |
| 20 | 5783 | 2 | 0 |
| 21 | 0 | 8 | 0 |
| 22 | 90938 | 131 | 0 |
| 23 | 0 | 3917 | 0 |
| 24 | 1620479 | 123859 | 0 |
| 25 | 0 | 4131991 | 0 |
| 26 | 31478582 | 132160608 | 0 |
| 27 | 0 | 4018022149 | 0 |
| 28 | 656783890 | 118369811960 | 0 |
| 29 | 0 | 0 | |
| 30 | 14621871204 | 4 | |
| 31 | 0 | 0 | |
| 32 | 345975648562 | 90 | |